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Results tagged with duality
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user 5015
Use for questions regarding duality of mathematical object, i.e. dual spaces, objects with two possible interpretations etc.
4
votes
Accepted
Reference request for the isomorphism $H^1(G_{K_v},E)[n]\cong (E(K_v)/nE(K_v))^*$ in the con...
Nowadays, it is often derived from local Tate duality $H^1\bigl(K_v,E[n]\bigr)\times H^1\bigl(K_v,E[n]\bigr)\to \mathbb{Z}/n\mathbb{Z}$ and the additional fact that the image of the Kummer map $\kappa\ …
- 8,945
2
votes
Why is the norm map dual to restriction under Tate local duality?
Now, for the local duality in $H^1$, the dual map to restriction is corestriction, because of the formula $\xi\cup\operatorname{cor}(\eta) = \operatorname{cor}(\operatorname{res}(\xi)\cup\eta)$ and the …
- 8,945